Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 2 - Solving Linear Inequalities - 2.1 - Writing and Graphing Inequalities - Exercises - Page 60: 66

Answer

$x=\dfrac{w-2}{3}$

Work Step by Step

Distribute $3$ by mulitplying it to each of the terms inside the parentheses: $\begin{align*} w&=5+3(x)-3(1)\\ w&=5+3x-3\\ w&=3x+2 \end{align*}$ Subtract $2$ from each side: $\begin{align*} w-2&=3x+2-2\\ w-2&=3x \end{align*}$ Divide both sides of the equation by $3$: $\begin{align*} \frac{w-2}{3}&=\frac{3x}{3}\\ \frac{w-2}{3}&=x\\ \end{align*}$
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